## Abstract and Applied Analysis

### A Kind of Unified Proper Efficiency in Vector Optimization

#### Abstract

Based on the ideas of the classical Benson proper efficiency, a new kind of unified proper efficiency named S-Benson proper efficiency is introduced by using Assumption (B) proposed by Flores-Bazán and Hernández, which unifies some known exact and approximate proper efficiency including $(C,\epsilon )$-proper efficiency and E-Benson proper efficiency in vector optimization. Furthermore, a characterization of S-Benson proper efficiency is established via a kind of nonlinear scalarization functions introduced by Göpfert et al.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 636907, 5 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606032

Digital Object Identifier
doi:10.1155/2014/636907

Mathematical Reviews number (MathSciNet)
MR3206807

Zentralblatt MATH identifier
07022796

#### Citation

Zhao, Ke Quan; Xia, Yuan Mei. A Kind of Unified Proper Efficiency in Vector Optimization. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 636907, 5 pages. doi:10.1155/2014/636907. https://projecteuclid.org/euclid.aaa/1412606032

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